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An original map has the RF-1/50,000 and R.F. of the new map will be 1/250,000. What is the correct proportion of enlargement/reduction as given below ?

  • A.Reduction 1/5
  • B.Enlargement (5 times)
  • C.Reduction 1/10
  • D.Enlargement (10 times)

Answer: A

The original map is at 1/50,000 and the new map is at 1/250,000. The ratio of the new scale to the old scale is:

\[ \frac{1/250000}{1/50000} = \frac{50000}{250000} \]

\[ = \frac{1}{5} \]

The new map is a reduction to one fifth of the linear size of the original, so reduction 1/5 is the answer. An enlargement would need a larger fraction than 1/50,000, and 1/10 would be the ratio for a map at 1/500,000. The same result is found by dividing 250,000 by 50,000, which gives 5, so the linear size of the map is reduced five times.

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